Finding the Third Proportional to 185,944 and 382,892

Step by Step Solution

1. Step 1: Write the proportion equation
   185,944 : 382,892 = 382,892 : x
2. Step 2: Convert to fraction form
   185,944/382,892 = 382,892/x
3. Step 3: Cross multiply
   185,944x = 382,892 × 382,892
4. Step 4: Simplify right side
   185,944x = 146,606,283,664
5. Step 5: Solve for x
   x = 146,606,283,664/185,944
6. Step 6: Final answer
   x = 788,443.21